On Orthogonal Polynomial Bases for Triangles and Tetrahedra Invariant under the Symmetric Group

Abstract

We present an L2-orthonormal polynomial basis for triangles containing 10 degree polynomials in its span. The sixty-six basis functions are defined by using 35 generating functions {Bk(x, y)} with the property that Bk(x, y) is orthogonal to Bk(y, x) unless they are equal. For tetrahedra, we describe methods for constructing a an L2-orthonormal basis by… (More)

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Cite this paper

@inproceedings{ManKwong1998OnOP, title={On Orthogonal Polynomial Bases for Triangles and Tetrahedra Invariant under the Symmetric Group}, author={Gary Man-Kwong and Howard Swann}, year={1998} }